A certain sum is divided among p, q and r in a manner that for every rupee that p gets, q gets 75 paise and for every rupee that q gets, r gets 50 paise. If r’s share in the total sum is Rs. 36, then find the share of p.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Rs. 96
⇒ P : Q = 1 : 0.75 = 4 : 3
⇒ Q : R = 1 : 0.50 = 2 : 1
⇒ P : Q : R = 8 : 6 : 3
Let share of P, Q, R be 8x, 6x, 3x
According to the question:
⇒ 3x = 36
⇒ x = 12
⇒ Share of P = 8x = 8 × 12 = Rs. 96